prove that v^2=2gh is dimensionally correct.​

Answers

Answer 1

Answer:

The formula is correct.

Explanation:

The given expression is :

[tex]v^2=2gh[/tex]

Where

v is the velocity

g is acceletion due to gravity

h is height

Taking LHS,

The dimensional formula for [v] = [LT⁻¹]

[v²] = [L²T⁻²]

Taking RHS,

The dimensional formula for [g] = [LT⁻²]

The dimensional formula for [h] =[L]

2gh = [LT⁻²][L]

= [L²T⁻²]

So, LHS =  RHS

So, the given formula is correct dimensionally.


Related Questions

What is the total resistance of a 6 ohm and a 8 ohm resistor connected in series?
(1 Point)

Answers

Answer:

Total Resistance in circuit is Fourteen Ohms (14 Ω).

Explanation:

How do we know, if the resistors are connected in series, the total resistance is the sum of all the resistors.

(Important: The total resistance can only be added just when the resistors are connected in series)

Then, total resistance (TR ) is the sum of all resistors (T1 + T2, in this case)

TR = T1 + T2

According to problem data, we have:

TR = 8 Ω + 6 Ω

TR = 14 Ω

                                                                              ║Sincerely, ChizuruChan║

I need help QUICK!! 20 points
Which of the following is/are formed as gravity pulls increasing amounts of dust and debris in a nebula together?

a. the solar wind

b. meteors

c. planetesimals

d. meteorites

Answers

I think the answer is solar wind and I not it’s meteors
The correct answer would be C. planetesimals is created when this interaction happens b

describe one example of light being refracted in the living room

Answers

Answer:

television

Explanation:

a television refracts light (the light bounces off of the screen

Answer:

Suppose you have a glass slab as a paper weight, if you keep it on the paper, dont you see something strange? The paper becomes elevated in the glase slab. Everyone sees a waterbottle or glass everyday, while seeing through it, does everything seem normal? Nope. That's refraction.

Explanation:

You must have seen a prism, right? It makes light split into the visible electromagnetic spectrum.

Answer in the proper number of significant numbers
23.4 x 14

Answers

Answer:

327.6 is the answer but there is 2 sig figs in 14 so change it to 330

so 330 is the final answer

hope this helps

have a good day :)

Explanation:

The multiplication product of 23.4 × 14  is 327.6. However, there is only two significant figures in 14. So we have to take the answer in 2 significant figure. Hence, the product can be written as 3.3 × 10².

What are significant figures ?

Significant figures are number of digits which  can be counted as certain values associated with some uncertainties as well. There are certain rules regrading the count of significant figures in a number.

The zeros after a non-decimal number cannot be taken as significant. For eg, in 4500, there are only two significant figures. The common rule for all the arithmetic operation is that, the significant figures in the product have to be equal to the number of significant figure in the number in the operation with least significant figures.

Here, the one with least significant figures is 14. It have two significant figures. Now, product of the two numbers is :

23.4 × 14 = 327.6

But the rounded product for correct significant figure is 3.3 × 10².

Find more on significant figures:

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hi im being timed please help im trying to raise my F in the class before graduation

Answers

Answer:

D

Explanation:

What occurs when light bends while passing from one medium to another?

Answers

Answer:So the answer is B

Explanation: When the light rays either bend or change their direction while passing from one medium to another it is called refraction of light. The refraction of light takes place when light travels from air into glass, from glass into air, from air into water or from water into air.

Electricity that comes into our homes from the grid is known as:
A. Static electricity
B. Resistance
C. Current electricity
D. Charge​

Answers

power grid
All the poles and wires you see along the highway and in front of your house are called the electrical transmission and distribution system. Today, generating stations all across the country are connected to each other through the electrical system (sometimes called the "power grid").

You may have had an opportunity to skip rope or watch someone else skip rope. If you have one rope, you can skip a yourself or you can include two friends, each friend holding one end of the rope and you skipping in the middle. In this instance your friend represent notes and you were anti-node. Is it possible to skip rope with three friends with two of you in yhe middle jumping at different times?.

Answers

Answer:

What is skip rope?

Explanation:

Sorry this wont help

A man holds a rectangular card in front of and parallel to a plane mirror. In order for him to see the entire image of the card, what is the least mirror area needed ?

Answers

Answer:

mark as the brainly olss

4. How much would an object accelerate if it has a mass of 25 kg and is pushed with a force of 2 Newtons?
Please help ASAP

Answers

Answer:

0.4

Explanation:

f divided by m = a

Un objeto de 200 gramos está amarrado del extremo de una cuerda y gira describiendo un círculo horizontal de 1.20 m de radio a razón de 3 rev/seg la tensión en la cuerda es?

Answers

Answer:

La tensión es 85.3 N.

Explanation:

Cuando el objeto gira en dirección horizontal, la sumatoria de fuerzas se puede calcular usando la segunda ley de Newton:  

[tex] \Sigma F_{x} =ma_{c} [/tex]

[tex] T = ma_{c} [/tex]  

Dado que el movimiento es horizontal, el peso (que está en el eje y) no contribuye en la sumatoria de fuerzas en el eje x. Por lo que la única fuerza actuando sobre el objeto en la dirección del movimiento es la tensión.  

En donde:                                          

m: es la masa del objeto = 200 g = 0.200 kg

[tex]a_{c}[/tex]: es la aceleración centrípeta

La aceleración centrípeta viene dada por:  

[tex]a_{c} = \omega^{2} r[/tex]

En donde:    

ω: es la velocidad angular del objeto = 3 rev/s

r: es el radio = 1.20 m

Entonces, la tensión es:

[tex]T = m\omega^{2} r = 0.200 kg(3\frac{rev}{s}*\frac{2\pi rad}{1 rev})^{2}*1.20 m = 85.3 N[/tex]

   

Por lo tanto, la tensión es 85.3 N.  

Espero que te sea de utilidad!                                                                          

HELP ASAP Miguel claims that as a ball falls, it loses potential energy. Izzy claims that as a ball falls, it
gains kinetic energy. Can both students be correct? Describe the evidence which would support
either student.

Answers

Answer and Explanation:

They are both correct.

This is because potential energy is when there is potential for the object to have energy, while kinetic energy is energy that is moving already.

So, as the ball falls, it loses its potential energy, or "still/Stalled" energy, and gains kinetic energy, or moving energy.

#teamtrees #PAW (Plant And Water)

what is the definition for speed?​

Answers

Explanation:

the rate at which someone or something moves or operates or is able to move or operate.

the speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

please help me I have to send for my teacher​

Answers

Answer:

for the fill in the blanks

1- static

2-kinetic

3-coeffiecient

4-opposite to

5-sin theta

6-cos theta

im not sure however what to do with the top part or if its even part of what you need help with

Determine la inercia rotacional de una varilla de 4 m de largo y 2 Kg de mesa si su eje de rotación esta situado a la mitad de la varilla.

Answers

Answer:

   I = 2.667 kg m²

Explanation:

The moment of inertia of a body can be calculated by the expression

         I = ∫ L² dm

For high symmetry bodies the expressions of the moment of inertia are tabulated, for a rod with its axis of rotation at its midpoint it is

         I = [tex]\frac{1}{12}[/tex] m L²

let's calculate

         I = [tex]\frac{1}{12}[/tex]  2  4²

         I = 2.667 kg m²

what happens when a sample of water turns to ice

Answers

[tex]\huge{\underline{\underline{\mathrm{\color{red}{AnswEr}}}}}[/tex]

As a sample of water turns to ice, A new molecules are formed.

When water turns to ice, it expands / contracts. Water is more / less dense than ice. The water you drink is a solid / liquid / gas.

What fraction of a wavelength of a standing wave pattern is between resonances in a closed end tube?

Answers

Answer:

[tex]25\%[/tex] of the wavelength is between resonances in a closed end tube.

Explanation:

In an one end closed tube, the fundamental resonance occurs when a node is created at the closed end and an antinode is created in the open end.

Thus, for fundamental resonance, the entire length of the tube encloses one-fourth of the wavelength of the standing wave.

The formula to calculate the percentage of the wavelength in a closed end tube is given by

[tex]f=\frac{L}{\lambda}\times100\%........................(1)[/tex]

Here, [tex]f[/tex] is the required percentage, [tex]L[/tex] is the length of the tube and [tex]\lambda[/tex] is the wavelength of the standing wave.

Substitute [tex]\frac{\lambda}{4}[/tex] for [tex]L[/tex] into equation (1) o calculate the required percentage.

[tex]f=\dfrac{\frac{\lambda}{4}}{\lambda}\times100\%\\~~~=25\%[/tex]

order the phrases
Using the phrases in the box above, fill in the blank below to put the phrases in the correct order (# 11 - 14) Follow the arrows!

Answers

New moon-waxing crescent- first quarter-waxing gibbous-full moon-waning gibbous-waning crescent

Quarter- a half of a moon is illuminated
Crescent- a quarter of a moon is illuminated
Gibbious- more than half of the moon is illuminated
New moon- no part of the moon is visible on earth
Full moon- all parts of the moon is visible on earth

A brainliest would be nice if i got it all correct!
-SpaceMarsh

O aparelho de som do carro de João dissipa uma potência de 150W quando ligado em volume máximo. Sabendo que a bateria de seu carro fornece uma diferença de potencial de 12V, calcule a corrente máxima nesse circuito, quando esse aparelho está ligado em volume máximo e a resistência elétrica.

Answers

Answer:

i not sure

Explanation:

How many electrons are contained in 1.0 C of charge? What is the mass of the electron in 1.0C of charge?

Answers

The answers are 6.2 x 10^18 electrons and 5.7 x 10^-12 kg respectively.

There are approximately 6.24 x 10¹⁸ electrons contained in 1.0 C of charge. The mass of the electron in 1.0 C of charge remains the same as the mass of an electron, which is approximately 9.109 x 10⁻³¹ kg.

We may utilise the elementary charge, which represents the charge of a single electron, to calculate how many electrons are present in 1.0 C of charge. It is estimated that the elementary charge is 1.602 x 10-19 C.

Number of electrons = Charge ÷ Elementary charge

Number of electrons = 1.0 C ÷ (1.602 x 10⁻¹⁹ C)

Calculating the division:

Number of electrons ≈ 6.24 x 10¹⁸ electrons

Therefore, there are approximately 6.24 x 10¹⁸ electrons contained in 1.0 C of charge.

It is crucial to remember that the electron's mass is unaffected by the charge when considering the electron's mass in 1.0 C of charge. Regardless of the charge it carries, an electron has a mass of about 9.109 x 10⁻³¹ kg.

Thus, the mass of one electron, which is roughly 9.109 x 10⁻³¹ kg, remains constant in 1.0 C of charge.

For more details regarding electron, visit:

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which quantity is the vector?
a) weight
b) power
c) kinetiic energy
d) speed

Answers

The answer is D. Goodluck!

The unit of area is called derived unit, why?

Answers

Answer:

Because the unit of area depends upon the other fundamental units.

Explanation:

Unit of Area = m^2

actual metre is the unit of length.

so metre × metre makes ?^2

The relationship between the equilibrant and the resultant vector is *

the equilibrant is equal in magnitude and in diredction
the equilibrant is equal in magnitude but opposite in direction
the equilibrant is different in magnitude and in direction
the equilibrant is different in magnitude but opposite in direction

Answers

Answer:

the equilibrant is equal in magnitude but opposite in direction.

Explanation:

In vector algebra, a resultant vector is a single vector that have the same effect as the effect of the net or algebraic sum of two or more vectors.

A resultant vector arises from finding the adding multiple vectors together.

When a group of vectors is replaced by a resultant vector, in order to keep the system of vectors at equilibrium, there is another vector which has the same magnitude as the resultant vector but acting in opposite direction to the resultant vector. This vector is called the equilibrant.

Part D
From this data, how many male, female, adult, and baby mountain goats do you predict are in the park?​

Answers

Answer:

80

Explanation:

I literally just did this question lol I hope I helped

In an ecosystem having a park, from the given data there are 71 male,93 female, 103 adults and 61 baby goats in the park.

What is an ecosystem?

Ecosystem is defined as a system which consists of all living organisms and the physical components with which the living beings interact. The abiotic and biotic components are linked to each other through nutrient cycles and flow of energy.

Energy enters the system through the process of photosynthesis .Animals play an important role in transfer of energy as they feed on each other.As a result of this transfer of matter and energy takes place through the system .Living organisms also influence the quantity of biomass present.By decomposition of dead plants and animals by microbes nutrients are released back in to the soil.

Learn more about ecosystem,here:

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Which of the following correctly describes how particular type of mirror reflects light? Convex mirrors reflect light to a central point (converging). Concave mirrors reflect light to a central point (converging). Concave mirrors reflect light so the light spreads out (diverging).

Answers

Answer:

Concave mirrors reflect light to a central point (converging)

Suppose the source is to the left of the  mirror in  question.

Parallel rays into the mirror are always reflected towards the focal point.

In the case of a concave mirror the real parallel rays pass thru the focal point.

If the mirror is convex the rays will diverge to the left and act as if they were emanating from the focal point to the right of the mirror.

TENIENDO EN CUENTA LA FORMULA DE INTENSIDAD PARA B=4, Y I=10⁻9W/M²


A. 2,51X10⁻⁹W/M²
B. 3,16X10⁻⁷W/M²
C. 20X10⁻⁹W/CM²
D. 31,6X10⁻⁹W/CM²​

Answers

The answer is A or B hope this helps

1.1 A book lies on a table. This book is not moving because:
A there are no forces acting on this book.
B the forces acting on the book are in equilibrium.
C the force that the table exerts on the book is greater than the force
that the Earth exerts on the book.
D the force that the book exerts on the Earth has the same magnitude
as the force that the Earth exerts on the book and therefore they
cancel.​

Answers

Answer:

B The forces acting on the book are in equilibrium

Explanation:

The book that lies on the table and does not move according to Newton's First Law of motion, because there are no net forces acting on it, therefore the net force (the sum of forces acting on the book) is zero

Therefore, the magnitude of the forces acting on the book and the direction in which the forces acts on the balance each other such that the book is in an equilibrium state because the forces acting on the book (which can cause the book to move) are in equilibrium

Therefore, the book is not moving because the forces on the book are in equilibrium.

R
S
T.
The pressure due to the water is the
GREATEST at
(A)
(B)
(C)
(D)
Q
R
S
T

Answers

Answer:

Pressure wil be greatest at R [coz due to capillary action, coz it's small cross-sectional area]

The diver uses compressed air to breathe under water. 1700 litres of air from the atmosphere is compressed into a 12-litre gas cylinder. The compressed air quickly cools to its original temperature. Calculate the pressure of the air in the cylinder.

Answers

Answer:

The answer is below

Explanation:

A diver works in the sea on a day when the atmospheric pressure is 101 kPa. The diver uses compressed air to breathe under water. 1700 litres of air from the atmosphere is compressed into a 12-litre gas cylinder. The compressed air quickly cools to its original temperature. Calculate the pressure of the air in the cylinder.

Solution:

Boyles law states that the volume of a given gas is inversely proportional to the pressure exerted by the gas, provided that the temperature is constant.

That is:

P ∝ 1/V;   PV = constant

P₁V₁ = P₂V₂

Given that P₁ = initial pressure = 101 kPa, V₁ = initial volume = 1700 L, P₂ = cylinder pressure, V₂ = cylinder volume = 12 L. Hence:

P₁V₁ = P₂V₂

100 kPa * 1700 L = P₂ * 12 L

P₂ = (100 kPa * 1700 L) / 12 L

P₂ = 14308 kPa

Describe the difference difference
between separation and division

Answers

Separation is the propagation method in which these natural structures are simply removed from the parent plant and planted to grow on their own. When one of these structures is cut into sections that will then grow into a new plant the method is referred to as division.

Answer:

division is (uncountable) the act or process of dividing anything while separation is the act of disuniting two or more things, or the condition of being separated.

Explanation:

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